Question

solve the inequality and graph the solution. 5 + 5v > - 5. plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable v.

Subtract 5 from both sides of the inequality $5 + 5v>-5$.
$5+5v - 5>-5 - 5$
$5v>-10$

Step2: Solve for v.

Divide both sides of the inequality $5v>-10$ by 5.
$\frac{5v}{5}>\frac{-10}{5}$
$v > - 2$

Step3: Graph the solution.

On a number - line, plot an open circle at - 2 (since the inequality is $v>-2$, not $v\geq - 2$) and draw a ray to the right of - 2.

Answer:

The solution of the inequality is $v > - 2$. On the number - line, there is an open circle at - 2 and a ray extending to the right.